## Proceedings of the International School of Physics "Enrico Fermi.", Volume 23N. Zanichelli, 1963 - Nuclear physics |

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Results 1-3 of 28

Page 85

The

By comparison of the matrix of H (6.7) with the matrix of C one gets that (6.8) H12

~ 0.2 MeV (9C12) + /(L*2) + ... H = 2 Hu ~ 0.2 MeV £ 9CU + 2 /(£?,) + ... The first ...

The

**eigenvalues**of the operator (6.7) are given in table (6.10) for the L= 0 states.By comparison of the matrix of H (6.7) with the matrix of C one gets that (6.8) H12

~ 0.2 MeV (9C12) + /(L*2) + ... H = 2 Hu ~ 0.2 MeV £ 9CU + 2 /(£?,) + ... The first ...

Page 132

If we label by Ami>oj the matrix (em— ei) 6^dH + <mj | V | iny — <jm | V | iny , and

by £„,,,„, the matrix <mn| V\ijy — <nm\ V\ijy the

replaced by (43) (t BMl") = E• A*j\Y where we have labelled the

, ...

If we label by Ami>oj the matrix (em— ei) 6^dH + <mj | V | iny — <jm | V | iny , and

by £„,,,„, the matrix <mn| V\ijy — <nm\ V\ijy the

**eigenvalue**equations (42) arereplaced by (43) (t BMl") = E• A*j\Y where we have labelled the

**eigenvalues**by E„, ...

Page 133

where we will take the + sign to refer to positive-energy

sign to negative-energy ones. /X \ We note by direct substitution into (43), that if I *

is an eigenfunction with /X*\ ^ energy E„, then is an eigenfunction with energy ...

where we will take the + sign to refer to positive-energy

**eigenvalues**and the —sign to negative-energy ones. /X \ We note by direct substitution into (43), that if I *

is an eigenfunction with /X*\ ^ energy E„, then is an eigenfunction with energy ...

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### Contents

Lectures | 1 |

G E Brown Collective motion and the application of manybody | 99 |

T Ep icson The compound nucleus and the random phase approximation | 142 |

Copyright | |

1 other sections not shown

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### Common terms and phrases

amplitude approximation assume calculated closed shells coefficients commutation compound configuration consider corresponding coupling cross-section define deformed describe determined diagonal dipole dipole strength discuss eigenfunctions eigenstate eigenvalues electron equation excitation energy expectation value experimental factor force gives Green's function ground Hamiltonian harmonic oscillator Hartree-Fock hermitian adjoint hole hyperfine-structure intrinsic irreducible representation isobaric spin isospin isotope shift large number lecture levels linear magnetic matrix elements Ml transitions Mottelson multipole neutron nuclear charge distribution nucleon nucleus number of particles obtained one-particle operator operator F optical potential orbitals orthogonal pair parameters particle-hole interaction perturbation theory Phys physical problem proton quadrupole qualitative quantum number quasi-particle random relation residual interaction resonant rotation rotation group scattering self-consistent shell-model shown single-particle solution spectrum spherical symmetry time-dependent tion total angular momentum two-body two-particle unperturbed variation vector vibrations wave function wave-functions width y-ray zero